Trig. Identities And Integrations

Front 1

Sin θ = ___ / ___

Back 1

Opp / Hyp.

Front 2

Cos θ = ___ / ___

Back 2

Adj / Hyp

Front 3

Tan θ = ___ / ___

Back 3

Sin / Cos

Opp / Adj

Front 4

Csc θ = ___ / ___

Back 4

Hyp / Opp

1 / Sin θ

Front 5

Sec θ = ___ / ___

Back 5

Hyp / Adj

1 / Cos θ

Front 6

Cot θ = ___ / ___

Back 6

adj / opp

cos θ / sin θ

1 / tan θ

Front 7

sin x * csc x =

Back 7

1

Front 8

cosx * sec x =

Back 8

1

Front 9

tan x cot x =

Back 9

1

Front 10

sin²x + cos²x =

Back 10

1

Front 11

tan²x + 1 =

Back 11

sec²x

Front 12

1 + cot²x

Back 12

csc²x

Front 13

Law Of Sines

Back 13

Sin A/a = Sin C/c = Sin B/b

Front 14

sin2x =

Back 14

2sinxcosx

Front 15

cos2x =

Back 15

2cos²x-1

1 - 2sin²x

cos²x - sin²x

Front 16

tan 2x =

Back 16

2 tan x
________
1 - tan²x

Front 17

∫ du / u

Back 17

ln | u | + c

Front 18

∫ e^u

Back 18

e^u + c

Front 19

∫ sin u

Back 19

-cos u + c

Front 20

∫ cos u

Back 20

sin u + c

Front 21

∫tan u

Back 21

-ln|cos u| + c

Front 22

∫ sec u du

Back 22

ln|sec + tan| + c

Front 23

∫csc

Back 23

-ln|csc + cot|

Front 24

∫sec²

Back 24

tan u + c

Front 25

∫csc²

Back 25

-cot

Front 26

∫sectan

Back 26

sec

Front 27

∫csccot

Back 27

-csc

Front 28

∫du
___________
√(a² - u²)

Back 28

arctan(u/a)

Front 29

∫du
____________
a² + u²

Back 29

(1/a) arctan(u/a) + c

Front 30

∫du
___________
u√(u² - a²)

Back 30

(1/a) arctan(|u|/a) + c

Front 31

Differentiate:
u/v

Back 31

vu' - uv'
_________
v²

Front 32

Differentiate:
u^n

Back 32

nu^(n-1)u'

Front 33

Differentiate:
e^u

Back 33

u'(e^u)

Front 34

Differentiate:
tan

Back 34

sec²

Front 35

Differentiate:
sec

Back 35

sectan

Front 36

Differentiate:
cot

Back 36

-csc